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Modélisation des mécanismes d’hystérésis des composites tissés à l’aide d’un modèle collaboratif élasto-plastique endommageable a dérivées fractionnaires

Abstract : The present work is focused on the behaviour modelling of carbon fabric composite materials under cyclic loading. In some cases, such as fatigue studies and especially in the self-heating method, the visco-elastoplastic damaged behaviour modelling is necessary to estimate the amount of dissipated energy by the hysteresis loops. The proposed collaborative model consists of two sub-models. The first one describes the material behaviour during loading path. The elastic and inelastic deformations as well as in ply damage are computed. The second part deals with fractional derivative approach to describe hysteretic behaviour during unloading and reloading paths. The strain-rate sensibility is taken into account in both sub-models. The integer order derivatives are replaced by fractional ones in constitutive viscous laws using mathematical theory of fractional calculus. Indeed, the fractional laws are used to describe the history dependent behaviour of non-homogeneous materials. For this reason, a 3-parameters fractional model is developed to represent hysteresis loops during unloading path. A numerical algorithm of the complete model, the computation methodology of fractional derivatives and the detailed parameters identification method are proposed. The developed collaborative model is tested on composite materials behaviour with several matrices, thermosetting or thermoplastic, at different strain rates. The results are promising and open up new interesting perspectives.
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https://tel.archives-ouvertes.fr/tel-01684162
Contributor : Alina Krasnobrizha <>
Submitted on : Monday, January 15, 2018 - 11:54:38 AM
Last modification on : Thursday, March 5, 2020 - 5:38:38 PM
Long-term archiving on: : Monday, May 7, 2018 - 3:12:12 PM

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  • HAL Id : tel-01684162, version 1

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Alina Krasnobrizha. Modélisation des mécanismes d’hystérésis des composites tissés à l’aide d’un modèle collaboratif élasto-plastique endommageable a dérivées fractionnaires . Matériaux composites et construction. Ecole Centrale Nantes, Université Bretagne Loire; Institut de Recherche en Génie Civil et Mécanique – UMR CNRS 6183, 2015. Français. ⟨tel-01684162⟩

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